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Finding the Fourth Proportional to 1,732.40, 2,607.96 and 1,579.32

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Solution

The fourth proportional to 1,732.40, 2,607.96 and 1,579.32 is: 2,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.40 : 2,607.96 = 1,579.32 : x
  2. Step 2: Convert to fraction form
    1,732.40/2,607.96 = 1,579.32/x
  3. Step 3: Cross multiply
    1,732.40x = 2,607.96 × 1,579.32
  4. Step 4: Simplify right side
    1,732.40x = 4,118,803.39
  5. Step 5: Solve for x
    x = 4,118,803.39/1,732.40
  6. Step 6: Final answer
    x = 2,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.